TY - JOUR
T1 - Bounding Pyramids and Bounding Cones for Triangular Bézier Surfaces
AU - Deng , Jian-Song
AU - Chen , Fa-Lai
AU - Wang , Li-Li
JO - Journal of Computational Mathematics
VL - 6
SP - 609
EP - 620
PY - 2000
DA - 2000/12
SN - 18
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9071.html
KW - Triangular Bezier surface patch, Hodograph, Bounding pyramid, Bounding cone.
AB - <p style="text-align: justify;">This paper describes practical approaches on how to construct bounding pyramids and bounding cones for triangular Bézier surfaces. Examples are provided to illustrate the process of construction and comparison is made between various surface bounding volumes. Furthermore, as a starting point for the construction, we provide a way to compute hodographs of triangular Bézier surfaces and improve the algorithm for computing the bounding cone of a set of vectors. &nbsp;</p>